26105788800 has 864 divisors, whose sum is σ = 116777213280. Its totient is φ = 5504163840.

The previous prime is 26105788729. The next prime is 26105788801. The reversal of 26105788800 is 888750162.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26105788801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 18344889 + ... + 18346311.

Almost surely, 2^26105788800 is an apocalyptic number.

26105788800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26105788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58388606640).

26105788800 is an abundant number, since it is smaller than the sum of its proper divisors (90671424480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26105788800 is a wasteful number, since it uses less digits than its factorization.

26105788800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 26105788800 in words is "twenty-six billion, one hundred five million, seven hundred eighty-eight thousand, eight hundred".